Answer:
x = 54.6m
Step-by-step explanation:
ΔMAB and ΔMNP are similar. Therefore the sides are in proportion:
[tex]\dfrac{MA}{MN}=\dfrac{MB}{MP}[/tex]
We have
[tex]MA=80.5m-35m=45.5m\\MN=80.5m\\MB=x\\MP=96.6m[/tex]
Substitute:
[tex]\dfrac{45.5}{80.5}=\dfrac{x}{96.6}[/tex] cross multiply
[tex]80.5x=(45.5)(96.6)[/tex]
[tex]80.5x=4395.3[/tex] divide both sides by 80.5
[tex]x=54.6[/tex]
